Random sections of spherical convex bodies

Tatiana Moseeva, Alexander Tarasov, Dmitry Zaporozhets

Let $K\subset {\mathbb{S}}^{d-1}$ be a convex spherical body. Denote by $\Delta (K)$ the distance between two random points in $K$ and denote by $\sigma (K)$ the length of a random chord of $K$. W…